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Detrimental to battery life by being loose must be an old wives tale.
The battery pictured replaced a battery last summer that was 5 years old. The lawn tractor it came out of had a hold down of some sort when it was new but that's been so long ago I don't have the foggiest idea what it looked like. I once had a bungee across it but discovered that wasn't necessary either.
I have a JD LA 135 and it came new without a hold down of any kind. It takes a bit longer to remove, like maybe a couple of minutes if one holds his mouth just right, because it looks as if they built the tractor around the battery compartment. The battery wasn't worth a plug nickel but that another story for another day.